The number of polar bears in a region is decreasing by 5% per year There are 3000 polar bears in the region in 2017 What year will be the first year with less than 1000 polar bears in the region
Answer:
2031
Step-by-step explanation:
3000divide100=30x5=150x14=2100
2017+14=2031 w
In 2031 years, the first year with less than 1000 polar bears in the region.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The number of polar bears in a region is decreasing by 5% per year.
And, There are 3000 polar bears in the region in 2017.
Let after x years there are less than 1000 polar bears in the region.
Hence, We can formulate;
⇒ 3000 - 5% of 3000 × x < 1000
⇒ 3000 - 5/100 × 3000 × x < 1000
⇒ 3000 - 150x < 1000
⇒ 3000 - 1000 < 150x
⇒ 2000 < 150x
⇒ 2000/150 < x
⇒ 13.33 < x
So, The first year with less than 1000 polar bears in the region is getting after 14 years.
So, The value of years = 2017 + 14
= 2031
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The approximate length (in cm) of a typical Pacific halibut t years old is given by f(t) = 200(1 -0.956e-0.181).
A Pacific lialibut caught by Mike measures 140cm. What is its approximate age?
Answer:
6 years old
Step-by-step explanation:
Given
[tex]f(t) = 200(1 -0.956e^{-0.18t})[/tex]
Required
Find t when f(t) = 140cm
Substitute f(t) = 140cm
[tex]140 = 200(1 -0.956e^{-0.18t})[/tex]
Divide both sides by 200
[tex]0.7 = 1 -0.956e^{-0.18t}[/tex]
Collect like terms
[tex]0.956e^{-0.18t} = 1 -0.7[/tex]
[tex]0.956e^{-0.18t} = 0.3[/tex]
Solve for t
[tex]e^{-0.18t} = 0.3/0.956[/tex]
[tex]e^{-0.18t} = 0.31381[/tex]
Take natural logarithm of both sides
[tex]ln(e^{-0.18t}) = ln(0.31381)[/tex]
[tex]-0.18tln(e) = ln(0.31381)[/tex]
[tex]-0.18t*1 = ln(0.31381)[/tex]
[tex]-0.18t = -1.159[/tex]
Solve for t
[tex]t = (-1.159)/(-0.18)[/tex]
[tex]t = 6.43[/tex]
[tex]t \approx 6[/tex]
Griffins's driveway is 30 feet long.
Choose the word and number to complete the sentence correctly.
To convert 30 feet to yards
?
30 by
?
.
Answer:
10 yards
Step-by-step explanation:
Solve each equation by factoring ⁉️NEED THESE ASAP ⁉️
Answer:
3.
a=-1
a=-2
5.
n=-6
n=-3
8.
n=-5
n=-3
Step-by-step explanation:
3. separate into probable cases
[tex]a + 2 = 0\\ a + 1 = 0[/tex]
5.
[tex] {n}^{2} + 6n - 3n - 18 = 0 \\ [/tex]
factor out n from the expression
factor out -3 from the expression
[tex]n \times (n + 6) - 3(n + 6) = 0[/tex]
factor out n+6 from the equation
[tex](n + 6) \times (n - 3) = 0[/tex]
separate into probable cases
[tex]n + 6 = 0\\ n - 3 = 0[/tex]
solve the equations
[tex]n = - 6 \\ n = 3[/tex]
8.
[tex]n ^{2} + 5n + 3n + 15 = 0[/tex]
factor out n and 3 from the expression
[tex]n \times (n + 5) + 3(n + 5) = 0[/tex]
factor out n+5
[tex](n + 5) \times (n + 3) = 0[/tex]
separate into probable cases
[tex]n + 5 = 0 \\ n + 3 = 0[/tex]
solve the equations
[tex]n = - 3 \\ n = - 3[/tex]
Find X using these two
24x-19
16x+13
Step-by-step explanation:
24x-19=0
24x=19
x=19/24
16x+13=0
16x=-13
x=-13/16
A composite figure has three congruent triangles removed from it.
What is the area of the shaded region?
O 98ft
O 128ft
O 160ft
O 192ft
Someone help please I can’t seem to get this one and its my last one
Answer:
345 cm squared I believe
I'm not 100% sure
3 (4x - 2) - 5x = 6 - 7 (-x -2)
Answer:
0=26
Step-by-step explanation:
Distribute
3(4−2)−5=6−7(−−2)
12−6−5=6-7(-x−2)
Combine like terms
12−6−5=6−7(−−2)
7−6=6−7(−−2)
Distribute
7−6=6−7(−−2)
7−6=6+7x+14
Answer
0=26
The solution to the equation 3 (4x - 2) - 5x = 6 - 7 (-x -2) does not exist
How to determine the solution to the equationFrom the question, we have the following parameters that can be used in our computation:
3 (4x - 2) - 5x = 6 - 7 (-x -2)
Open the brackets
So, we have
12x - 6 - 5x = 6 + 7x + 14
Evaluate the like terms
So, we have the following representation
7x - 6 = 7x + 20
Next, we have
7x - 7x = 20 + 6
So, we have
0 = 26
This is false
Hence, the solution is no solution
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The expression 7+3x+4 represents the perimeter of the triangle. Simplify the expression.
7+3x+4 =
Answer:
-3.6
Step-by-step explanation:
Simplifying
7 + 3x + 4 = 0
Reorder the terms:
7 + 4 + 3x = 0
Combine like terms: 7 + 4 = 11
11 + 3x = 0
Solving
11 + 3x = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-11' to each side of the equation.
11 + -11 + 3x = 0 + -11
Combine like terms: 11 + -11 = 0
0 + 3x = 0 + -11
3x = 0 + -11
Combine like terms: 0 + -11 = -11
3x = -11
Divide each side by '3'.
x = -3.666666667
Simplifying
x = -3.666666667
help someone please
2. Solve: 10 - 5m = 25
7
3
о
-3
Please help
Answer:
-3
Step-by-step explanation:
subtract 10 to the 25 so that cancels out the 10, you are left with -5m=15, then you divide the -5m by -5 to cancel it out on both sides. that leaves you with m by itself and once you do the division of 15 by -5 the result is -3
According to a recent warning from the FDA, grain-free food might be giving dogs a life- threatening heart problem called dilated cardiomyopathy, or DCM. Scientists interested in studying this link were trying to see if there was a difference in the average blood pressure between four different food types (expensive grain-free dog food, cheap grain-free dog food, expensive dog food with grain included, and cheap dog food with grain included). What hypothesis test would be appropriate for analyzing the above scenario?
z test of independent averages
chi-squared goodness of fit test
ANOVA
test of two proportions
paired t-test
chi-squared test of independence
t test of independent averages
Answer:
z test of independent averages
chi-squared goodness of fit test
ANOVA
test of two proportions
paired t-test
chi-squared test of independence
t test of independent averages
Step-by-step explanation:
3 - n = 9
algebra what does n =
What does 5 mean? What is the value of 5
Ms. Marcus purchased 5 pounds of grapefruit for $4.90. At this price how much will 7 pounds of grapefruit cost?
Answer: I thinnk the answer is 6.86
4.90 divided by 5=0.98
0.98 times 7=6.86
Step-by-step explanation:
I'm gonna send you a picture of it
Answer:
Of whaT?
But thanks for the free points
Help please!!! Brainliest immediately!
Kylie and her family need to buy a new refrigerator. The space available for the refrigerator measures 37 in wide, 72 in high, and 24 in deep.
Which size refrigerator would be the BEST fit for the available space?
Answer:
B
Step-by-step explanation:
find the value of v in rectangle
Answer:
Step-by-step explanation:
7v = v+12
6v = 12
v = 2
77006
75863
Subtract
Answer:
1143
Step-by-step explanation:
A car dealer sells four model types: A,B,C,D. On a given week, this dealer sold 10 cars of model A, 5 of model B, 8 of model C and 3 of model D. The selling prices of each automobile are respectively $12,500, $11,800, $15,900 and $25,300. Represent the data using matrices and use matrix multiplication to find the total revenue.
me Q i did not know somebody Help My frann
At a picnic, there is a 5-gallon drink
dispenser filled with juice. Juice is served
in cups that each hold 8 fluid Ounces when
they are full. What is the greatest number
of cups that can be served?
Answer:
80 cups
Step-by-step explanation:
There are 640 ounces in 5 gallons so,
640 divided by 8 equals 80, therefore,
The greatest number of cups that can be served are 80
What is the aspect ratio of a photograph that is 10 inches wide and 8 inches high?
Answer:
5:4
Step-by-step explanation:
10/2:8/2= 5:4
The security code to your home security system includes three single digit numbers 2.
and two letters. Repetition is allowed for the numbers but not allowed for the letters.
There is about 866 possible combinations. (please mark brainiest)
What is the measure of AC?
Answer:
a. 122 degree is the answer
1. Two more than the product of 3 and a number is -7.
Answer: -3
Step-by-step explanation:
2 + 3(x) = -7
-2 -2
-----------------------
3x = -9
x = -3
Jamie wants to treat some friends to lunch. He has $40 and knows the lunch will cost about $7 per person p. How many people can Jamie buy lunch for.
Answer:
5 people
Step-by-step explanation:
40/7=5.71
Thats not enough for 6 people so you go down to 5 people, you can't have 5.71 of someone
3(n – 8) = -12 solve for n
plz i need the answer ASAP
Answer:
Step-by-step explanation:
A contract between a manufacturer and a consumer of light bulbs specifies that the mean lifetime of the bulbs must be at least 1000 hours. As part of the quality assurance program, the manufacturer will institute an inspection program for each day's production of 10,000 units. An ordinary testing procedure is difficult since 1000 hours is over 41 days! Since the lifetime of a bulb decreases as the voltage applied increases, a common procedure is to perform an accelerated lifetime test in which the bulbs are lit using 400 volts (compared to the usual 110 volts). At such a voltage, a 1000-hour bulb is expected to last only 3 hours. This is a well-known procedure, and both sides have agreed that the results from the accelerated test will be a valid indicator of lifetime of the bulb.
The manufacturer will test the hypotheses H0 : µ = 3 versus Ha: µ < 3 at the α = 0.01 significance level with a simple random sample of 100 bulbs.
a. Describe what a Type I error would be in this context.
b. Describe what a Type II error would be in this context.
c. Which error—Type I or Type II—is likely to do more damage to the manufacturer’s relationship with the consumer? Explain.
Answer:
Follows are the solution to the given points:
Step-by-step explanation:
In point a:
In this sense, describe what type of error I will be.
Type I error: to conclude that perhaps the mean bulb life would be less than three hours when it becomes (at least) 3 hours.
In point b:
Describe throughout this context what the Type II error becomes.
An error of type II: never assuming that its bulbs' mean lifetime is much less than 3 hours. three hours at least
In point c:
What error — type I and type II — would further impact the interaction between the manufacturer and the customer?
A Type II error is probably further problematic because it means that even the buyer will buy bulbs that do not last long.
Who is smart enough to know this answer ?
glass holds 189 milliliters of juice. How many liters will 36 glasses hold?
Answer: 6804
Step-by-step explanation: If each glass holds 189 milliliters of juice and there are 36 glasses simply do 189*36, which is 6804